Graphing Linear Patterns 0 1 2 3 4 5 Graph A 1. Look at Graph A. b) a) 0 1 2 3 4 5 Graph B X 0 1 2 3 4 5 Graph C 01 2 3 4 5 Graph D Decide on a scale for the y-axis. What number pattern does the graph represent? Change the scale on the y-axis. Use a decimal value to represent an increase of one vertical unit. What pattern does the graph represent now?
Answers
The pattern represented by the scatter plot in Graph A are as follows;
1. a) The pattern of the graph with a scale factor of 1 unit equivalent to 1 y-value is the y-value at a point is 1 + the x-value at the specified point
b) When the scale factor is changed to 0.1 y-value unit to each unit of the graph, the pattern is each y-value is 0.1 × the x-value at the point plus 0.1
What is a scatter plot?A scatter plot is the plot of variable pairs along the two axis of a coordinate plane such that the pattern formed indicates the correlation between the values.
1. a. The values of the coordinate points of the Graph A using a scale of 1 to 1 unit of the graph are; (1, 2), (2, 3), (3, 4), (4, 5), (5, 6)
A pattern of the graph can be obtained by finding the value of the x and y values as follows;
The first difference in the y-values that is constant indicates, that the relationship is a linear relationship
The slope of the graph is; (3 - 2)/(2 - 1) = 1
The equation of the graph is therefore; y - 2 = 1 × (x - 1) = x - 1
y = x - 1 + 2 = x + 1
y = x + 1
The pattern is therefore, each value of y is equivalent to the value of x + 1
(b) Changing the scale of 1 unit on the graph to 0.1 unit of the y-value, we get; (1, 0.2), (2, 0.3), (3, 0.4), (4, 0.5), (5, 0.6)
Therefore, the slope of the graph is; (0.3 - 0.2)/(2 - 1) = 0.1
The equation of the graph is therefore; y - 0.2 = 0.1 × (x - 1)
y - 0.2 = 0.1 × (x - 1)
y - 0.2 = 0.1·x - 0.1
y = 0.1·x - 0.1 + 0.2 = 0.1·x + 0.1
y = 0.1·x + 0.1
The pattern represented by the graph after the scale is changed to a decimal value of 0.1 y-value to 1 unit of the graph is; y = 0.1·x + 0.1
Which is each y-value is 0.1 + the product of the x-value and 0.1
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Related Questions
What is the value of x in the right triangle shown below?
Answers
Answer:
12 feet
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex] Pythagorean Theorem
[tex]x^{2}[/tex] + [tex]5^{2}[/tex] = [tex]13^{2}[/tex]
[tex]x^{2}[/tex] + 25 = 169 Subtract 25 from both sides
[tex]x^{2}[/tex] = 144
[tex]\sqrt{x^{2} }[/tex] = [tex]\sqrt{144}[/tex]
x = 12
Can someone help me find the solution for X? Please leave an explanation for me so I can do questions like this by myself!
Also, can you leave an equation that solves for x..?
Answers
The value of angle x in the straight line is 41 degrees.
How to find the angle x?The sum of angles on a straight line is 180 degrees. In other words, angles on a straight line add up to 180°. Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line.
Therefore, let's find the angles x.
Using sum of angles on a straight line,
x + 139 = 180
subtract 139 from both sides of the equation
x + 139 - 139 = 180 - 139
Hence,
x = 41 degrees
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Which pairs of polygons are congruent? A. pairs 1, 2, and 3
B. pairs 1, 2, 3, and 4
C. pairs 2 and 3
D.pairs 1 and 3
Answers
The Pair 1 and Pair 3 polygons are congruent. Therefore, the correct option is D.
What is a Congruent Polygon?The definition of a congruent polygon is a polygon that is the same shape, has the same length of sides, and has the same interior angles as the polygon it is being compared to. Congruent shapes must all be the same type of shape in order to fulfill the requirement.
Pair 1:
Here, the shapes are same and have same length.
So, the polygons are congruent.
Pair 2:
Here, the shapes are same but they have different lengths
So, the polygons are not congruent.
Pair 3:
Here, the shapes are same and have same length.
So, the polygons are congruent.
Pair 4:
Here, the shapes are same but they have different lengths
So, the polygons are not congruent.
Therefore, option D is the correct answer.
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What is the product of (-4)(23)(-7)?
644
189
-133
-157
Answers
Answer:
its (-644) because 4 multiplication 23 and multiplication 7 is 644 and a minus will be written
Answer:644
Step-by-step explanation:
i got it right
Ling is climbing a rock wall. She starts by climbing up 12 feet. Then, she climbs down 3 feet to take a different route. From there, she climbs up another 8 feet. How far off the ground is she now?
Answers
Ling is now 17 feet off the ground if she is climbing a rock wall.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
She begins by climbing 12 feet. Then she descends 3 feet to take a different path. She climbs another 8 feet from there.
Ling started 12 feet off the ground and climbed down 3 feet, so she is now 12 - 3 = 9 feet off the ground.
Then she climbed up another 8 feet, so she is now 9 + 8 = 17 feet off the ground.
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Sort the cards to list all the Properties of Parallelograms.
Answers
These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.
What exactly is circumcenter?the triangle's circle's center. It is the point where the "perpendicular bisectors," or lines parallel to the centre of both sides, cross.
The intersection of any two perpendicular bisectors of any two triangle sides is known as the circumcenter of a triangle ABC.
The equation y=1 is the perpendicular bisector of sides B(3,0) and C(3,2). Because AB's midpoint is at 3,1 and its slope is unknown. The perpendicular bisector has zero slope. The equation for such a line is y=y1.
The equation for the perpendicular bisector of A(0,0) and B is also x=1.5 (3,0). The reason is that AB has a midpoint of zero slope and (1.5,0). The perpendicular bisector's slope won't be clearly defined. The equation for such a line is x=x1.
These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.
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The thickness (in millimeters) of the coating applied to hard drives is one characteristic that determines the usefulness of the product. When no unusual circumstances are present, the thickness has a normal distribution with a mean of 2 mm and a standard deviation of 0.04 mm. Suppose that the process will be monitored by selecting a random sample of 25 drives from each shift's production and determining the mean coating thickness for the sample.
A. Describe the sampling distribution of for a random sample of size 25.
The distribution of x is normal with mean 2 mm and standard deviation (Need to find standard Deviation) mm.
B.
When no unusual circumstances are present, we expect x to be within 3 x of 2 mm, the desired value. An x value farther from 2 mm than 3 x is interpreted as an indication of a problem that needs attention. Calculate 2 ± 3 x.
2 − 3 x = mm
2 + 3 x = mm
C.
Referring to part (b), what is the probability that a sample mean will be outside
2 ± 3 x just by chance (that is, when there are no unusual circumstances)? (Round your answer to four decimal places.)
Answers
A. The distribution of x is normal with mean 2 mm and standard deviation 0.008 mm.
B. The bounds are given as follows:
Lower bound: 1.976 mm.Upper bound: 2.024 mm.C. The probability that the sample mean is outside the interval 2 ± 3 x is given as follows: 0.003 = 0.3%.
How to obtain the probability using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The mean and the standard deviation for the population are given as follows:
[tex]\mu = 2, \sigma = 0.04[/tex]
Hence, for a sample of 25, the standard error is given as follows:
s = 0.04 / square root(25) = 0.008 mm.
The interval for item b is within three standard errors of the mean, hence:
2 − 3 x = 2 - 3 x 0.008 mm = 1.976 mm.2 + 3 x = 2 + 3 x 0.008 mm = 2.024 mm.The Empirical Rule states that 99.7% of the measures are within three standard errors of the mean, hence the probability that the sample mean is outside the interval 2 ± 3 x is given as follows: 0.003 = 0.3%.
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I’ll give BRAINLIEST if correct
Answers
Answer:
[tex]\huge\boxed{\sf Option \ 1}[/tex]
Step-by-step explanation:
Linear expression:An expression in which all the terms are raised to their first power is known as a linear expression.Here, 6x + 6 is a linear expression since all the terms are raised to power 1 only.
[tex]\rule[225]{225}{2}[/tex]
The owners of an aquarium have recently built a new tank that can hold up to 110fish. The owners wish to fill it with orange fish and blue fish. The orange fish aresmaller, so they want at least 20 more orange fish than blue fish. Which of thefollowing graphs represents the possible number of orange fish, k, and blue fish, j,that they can put in the tank?
Answers
The following graph will represents the possible number of orange fish, k, and blue fish, that they can put in the tank.
Here we have given that owners of an aquarium have recently built a new tank that can hold up to 110 fish.
And here we also know that owners wish to fill it with orange fish and blue fish. The orange fish are smaller, so they want at least 20 more orange fish than blue fish.
Let us consider that x refers the orange fish and y refers the blue fish.
Then the total number of fish in the tank is written as,
=> x + y = 110
Here we have the condition that at least 20 more orange fish than blue fish.
Then the inequality for the situation is written as.
=> x > 20
So, when we plot these on the graph then we get the graph like the following.
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To rent a moving truck for the day it costs $33 +1 dollar for each mile driven you drive the truck 300 miles how much do you pay right in expression that represents the cost in dollars to rent the truck
Answers
The amount paid for the truck for 300 miles is $333
How to determine the amount paid for the truckFrom the question, we have the following parameters that can be used in our computation:
Amount paid per day = $33
Amount paid per mile = $1
Number of miles driven = 300
The amount paid for the truck is then calculated as
Amount paid for the truck = Amount paid per day + Amount paid per mile x Number of miles driven
Substitute the known values in the above equation, so, we have the following representation
Amount paid for the truck = 33 + 300 * 1
Evaluate the products
Amount paid for the truck = 33 + 300
Evaluate the sum
Amount paid for the truck = 333
Hence, the amount is $333
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Is 3 to 5.9 to 15 equivalent
Answers
Answer:
Yes, they are equivalent---------------------------------
Given ratios:
3/5 and 9/15Simplify the second ratio by dividing both parts by 3:
9/3 = 3 and 15/3 = 5The ratio becomes:
3/5We get same ratios so they are equivalent.
By what percentage is the highest price city more expensive than the lowest price city for the cost of retail space (to the nearest whole percentage
Answers
The required percentage is 65% of the highest price city more expensive than the lowest price city for the cost of retail space.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The highest price city for the cost of retail space is Berlin with an average cost per square foot of retail space of 469.
The lowest price city for the cost of retail space is Paris with an average cost per square foot of retail space of 284.
The difference is 469 - 284 = 185
Hence, the required percentage is :
⇒ 185/ 284 x 100%
⇒ 65%
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Select all the expressions that are equivalent to 0.3(9n + 22).
A –2.7n – 6.6
B 2.7n + 6.6
C 2.7 + 6.6n
D 2.7 + 6.6n
E 2.7 + 6.6n
Answers
The expressions that are equivalent to 0.3(9n + 22) are:
B 2.7n + 6.6C 2.7 + 6.6nHow to calculate(a)
Apply the Distributive Property: 0.3 x 9n + 0.3 x 22
Multiply the monomials: 2.7n + 0.3 x 22
Calculate the product or quotient: 2.7n + 6.6
Determine whether 0.3(9n + 22) and -2.7n - 6.6 are equivalent.
FALSE.
b.
Apply the Distributive Property: 0.3 x 9n + 0.3 x 22
Multiply the monomials: 2.7n + 0.3 x 22
Calculate the product or quotient: 2.7n + 6.6
Determine whether 0.3(9n + 22) and 2.7n + 6.6 are equivalent.
TRUE
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A Ferris wheel has a radius of 65 feet. Two particular cars are located such that the central angle between them is 150°. To the
nearest tenth, what is the length of the intercepted arc between those two cars on the Ferris wheel?
A) 9,750.0 feet
B)24.8 feet
C)170.2 feet
D)408.4 feet
Answers
The length of the arc of radius 65 feet is 170.2 feet. And the right option is C) 170.2 feet.
What is an arc?An arc of a circle is the smooth curve formed from the two-chord endpoints.
To calculate the length of the arc between two cars on the ferris wheel, we use the formula below.
Formula:
S = 2πr∅/360................... Equation 1Where:
S = Length of the arcr = Radius of the wheel∅ = The central angle formed between the carsFrom the question,
Given:
r = 65 feet∅ = 150°π = 22/7Substitute these values into equation 1
S = 2×(22/7)×65×150/360S = 170.2 feetHence, the length of the arc is 170.2 feet.
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A person is running down the staircase. He is in a rush, so he may jump over some steps. If the staircase is 12 steps (including the top one, where he begins, and the last one, where he ends), in how many ways can he reach the bottom step in 5 jumps? What if there are no restrictions on the number of jumps? [Hint: keep
track of the steps he steps on. . .]
Answers
The number of ways that he can reach the bottom step in 5 jumps will be 792.
What are permutation and combination?A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.
Running down the stairway is someone. He could hop over some steps since he is in a hurry. When a staircase has 12 steps (including the top one, where he begins, and the last one, where he ends).
The number of ways will be given as,
¹²C₅ = (12!) / [(12 - 5)! x 5!]
¹²C₅ = (12 x 11 x 10 x 9 x 8 x 7!) / [7! x 5 x 4 x 3 x 2 x 1]
¹²C₅ = 11 x 9 x 8
¹²C₅ = 792
The number of ways that he can reach the bottom step in 5 jumps will be 792.
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In rhombus ABCD, points E,F,G and H are the midpoints of AB, BC, CD and DA respectively. Quadrilateral EFGH has area 14 and perimeter 16. Find the side length for rhombus ABCD.
Answers
The side length of rhombus ABCD by using the formula for the perimeter of a quadrilateral is 4.
A rhombus is a quadrilateral with four equal-length sides in plane Euclidean geometry. The term equilateral quadrilateral refers to the fact that all of its sides are the same length.
Since EFGH is a quadrilateral with an area 14 and a perimeter 16, the sides of EFGH must all be of equal length. Since EFGH is composed of the midpoints of the sides of ABCD, the side length of ABCD must be twice the side length of EFGH.
Using the formula for the perimeter of a quadrilateral, 16 = 4x, so 4 = x. This means that the side length of ABCD is 4.
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Jimmy is going to the store to buy candles. Small candles cost $3.50, and large candles cost $5.00. He needs to buy at least 20 candles, and he cannot spend more than $80. Let x represent the number of small candles and y represent the number of large candles.
Answers
The inequalities that can be used to represent the situation are:
3.50x + 5y ≤ $80x + y ≥ 20.What are inequalities?Inequalities are mathematical statements showing that two or more mathematical expressions are unequal.
With inequalities, two or more values are compared to show that they are not equivalent.
Inequalities can be represented as follows:
≤: "less than or equal to"<: "less than"≠: "not equal to">: "greater than"≥: "greater than or equal to."The cost of small candles per unit = $3.50
The cost of large candles per unit = $5.00
The number of small candles = x
The number of large candles = y
The number of candles Jimmy needs to buy ≥ 20
The total amount Jimmy can spend on the candles ≤ $80
Inequalities:3.50x + 5y ≤ $80
x + y ≥ 20
Thus, with these inequalities, the total cost of small and large candles must not exceed $80 and the number can be 20 or more.
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Question Completion:Show the two inequalities representing the situation.
6. George is learning about mosaics in art class. His teacher passes out small square tiles and
encourages the students to cut up the tiles in various angles. George's first cut tile looks like
this:
B
b. Solve for m.
c. What is the measure of angle MLE?
(% m)
L
Write an equation relating angle MLE with angle ELB.
d. What is the measure of angle ELB?
2(m+5)*
M
Answers
The value of m is 32, the measure of the angle ∠ MLE is 16° and the measure of ∠ ELB is 74°.
What is angle?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.
Given:
The measure of ∠ MLE = 1 / 2 m, ∠ ELB = 2 (m + 5)
Calculate the value of m as shown below,
∠ MLE + ∠ ELB = 90 (As given on figure)
1 / 2 m + 2 (m + 5) = 90
1 / 2 m + 2 m + 10 = 90
m + 4 m + 20 = 180
5 m = 180 - 20
m = 160 / 5
m = 32
Hence, ∠ MLE = 32 / 2 = 16°, and ∠ ELB = 2 (32 + 5) = 74°
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The complete question is attached below.
Maya sells candles to her 5 neighbors. Each neighbor buys 2 boxes of candles. There are 6 candles in each box. What is the total number of candles that all of her neighbors will get
Answers
The total number of candle that Maya sold to her neighbor is 60 candles
How to solve the candles Maya soldThe number of candles Maya sold to her neighbor is solved using the concept of multiplication
Since there are 6 candles in each box and Maya sold 2 boxes each. the number of candle sold to each neighbor is solved by
= 6 candles * 2 neighbors
= 12 candles
Because Maya has 5 neighbors the total number of candle Maya sold is
= 5 neighbors * 12 candles
= 60 candles
we can therefore say that Maya sold a total of 60 candles to her neighbors
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Evaluate the expression, given functions f , and g :
f(x) =7x−4
g(x) =11−x2
3f(1)−4g(−2)=
Number
Answers
The value of the function 3f(1)−4g(−2) is -19.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that f(x) =7x−4 and g(x) =11−x². The value of the expression 3f(1)−4g(−2) will be calculated as,
3f(1) = 3 x ( 7 - 4 ) = 9
4g(−2) = 4 x [ 11 - (-2)² ] = 4 x -7 = -28
Substitute the values and solve,
E = 3f(1)−4g(−2)
E = 9 - 28
E = -19
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Question 3(Multiple Choice Worth 2 points)
(09.03 LC)
Select the expression that is shown on the number line.
2/8+3/8
2/8+5/8
5/8-2/8
5/8-3/8
Answers
The correct representation of the expression in the given number line is 5/8-3/8
What is the rule for adding and subtracting fractions?To add or subtract fractions they must have the same denominator (the bottom value). If the denominators are already the same then it is just a matter of either adding or subtracting the numerators (the top value). If the denominators are different then a common denominator needs to be found.
Given here, the required fraction is 2/8 and also we have 5/8-3/8=2/8
Hence, The correct representation of the expression in the given number line is 5/8-3/8
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Midpoint Calculations:
The relationship between the midpoints and diagonals is....
Answers
The diagonal intersection and the midpoint of both diagonal lies on the same point.
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram.
A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
As per the given parallelogram,
The midpoint of diagonal through J(4,-2) and H(-2,2) will be as,
x = (4 - 2)/2 = 1
y = (-2 + 2)/2 = 0
So it will be (1,0)
The midpoint of diagonal through K(-2,-3) and I(4,3) will be as,
x = (-2 + 4)/2 = 1
y = (-3 + 3)/2 = 0
So it will also be (1,0).
Since both midpoints are the same thus it will be the intersection point.
Hence "The midpoint of both diagonals and the diagonal intersection is located at the same location".
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pls help with geometry (see picture)
Answers
The line QS represents nothing from the given options, option D is correct.
What is a triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Given a ΔTQR
a line from Q intersects at TR at point S and divides angle Q to 30° and 34°,
The line QS is not a median, because a median divides the side into two equal halves, and the figure does not show that ST is equal to SR.
The line QS is not an attitude because the figure has not specified the angle of S in line TR, if given that the ∠QSR = ∠QST = 90° then QS will be called altitude.
The line QS is also not an angle bisector because an angle bisector divides the angle into two equal parts but the given angles are not equal.
Hence option D is correct.
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Halp I need halp again I would really appreciate it^^
Answers
Answer: 1728
Step-by-step explanation:
12^3 = 144 * 12 = 1728
Answer:
1728
Step-by-step explanation:
12*12*12=1728
2. QR = _______ units.
Answers
Answer:
4
Step-by-step explanation:
4, count the spaces as in the figure
what property is (2•x)•5=2•(x•5)
Answers
Answer:
Associative Property
(2•x)•5=2•(x•5)
this equation represents the Associative Property.
hope that helps...
Answer:cDADVFBDGFZDGSHHDBHDG
Step-by-step explanation:
10) After hearing that the children were dreaming of sugar plums in "The Night
Before Christmas," Cindy Lou wonders just how much time the kids were dreaming
during their slumber. If the children were asleep from 7.5 to 10 hours, and 25% of
their sleep includes dreams, how much time was spent dreaming of sugar plums?
Write a compound inequality for this situation and solve. Show your answer on a
graph too
Answers
Answer:
First, let's find the total amount of time the children spent asleep: 10 hours - 7.5 hours = <<10-7.5=2.5>>2.5 hours
Then, let's find the amount of time the children spent dreaming by multiplying the total amount of time they spent asleep by 25%: 2.5 hours * 25% = <<2.525.01=.625>>.625 hours
We can represent this situation with the compound inequality: .625 hours <= x <= 2.5 hours
To graph this inequality, we can plot a point at 2.5 on the number line and shade in the region to the left of it. Then, we can plot a point at .625 on the number line and shade in the region to the right of it. The solution to the inequality is the region where both shaded regions overlap.
[asy]
unitsize(1 cm);
draw((-2,0)--(4,0));
draw((0,-1)--(0,1));
draw((-.2,0)--(0,.2)--(.2,0)--(0,-.2)--cycle);
draw((2.5,-1)--(2.5,1),dashed);
draw((.625,-1)--(.625,1),dashed);
label("$x$",(4,0),SE);
fill((-2,0)--(-2,1)--(2.5,1)--(2.5,0)--cycle,gray(.7));
fill((2.5,0)--(2.5,1)--(4,1)--(4,0)--cycle,gray(.7));
[/asy]
Step-by-step explanation:
Calculate the area of a triangle with the given properties?
Answers
Answer:
82 m²
Step-by-step explanation:
You want the area of the triangle with sides b = 13 m, c = 17 m, and the angle between them, A = 48°.
AreaThe relevant formula for the area is ...
Area = 1/2(bc)sin(A)
Area = 1/2(13 m)(17 m)sin(48°) ≈ 82.1175 m²
The area of the triangle is about 82 square meters.
Estimate how many people can comfortably slow dance on a dance floor that is 17ftx17ft.
Answers
Answer:
17 to 17 ft will be fit for 200 people for dancing.
How important is the cash flow statement?
Answers
It counts the amount of money coming in or going out over the specified time period.
What is cash flow?The cash balance of liquid assets coming into and going out of a business is referred to as cash flow. Money spent and money received reflect inflows and outflows, respectively.
The cash flow is the difference between outflow and inflow.
Cash flow = outflow - inflow
If the value of the cash flow is negative that means the expense is more.
If the value of the cash flow is positive that means the income is more.
A reliable indicator of a company's strength, prosperity, and prospects for the future is the cash flow report. The cash flow statement is significant because it tracks any inflows or outflows of cash within the specified time period. The industry's both short- and long-term planning is influenced by this information.
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